Key Features Review

Presentation

•

Mathematics

•

10th - 12th Grade

•

Medium

•

CCSS

HSF.IF.B.4, HSF-IF.C.7A, 8.F.A.1

Standards-aligned

Stephanie Parker

Used 118+ times

FREE Resource

5 Slides • 16 Questions

Key Features of Functions

REVIEW

Domain & Range

Domain = x-values = input
Range = y-values = output

Multiple Choice

What is the domain of the graph?

y≥1

x ≥ 1

All real numbers

none of these

Multiple Choice

What is the range of the graph?

y≥1

x≥1

All real numbers

none of these

Multiple Choice

What is the DOMAIN?

(4, ∞)

(-4, ∞)

[-3, 3)

(-3, 3]

Multiple Choice

What is the RANGE?

{-3, 3]

all real numbers

[-4, 5]

[-4, ∞)

Intervals of Increase & Decrease

Domain intervals = use x-values
Increasing = positive rate of change
Decreasing = negative rate of change

Multiple Choice

When is this function increasing?

(-3, 3)

(-2.5, 2.5)

[-3, 3]

(3, ∞)

Multiple Choice

Where is the function decreasing?

(-∞, -1)

(-1, ∞)

(-∞, 3)

(-∞, ∞)

Multiple Choice

When is the function decreasing?

(30, 55)

(40, 60]

(15, 40)

(60, -40)

Maximums & Minimums

Maximum = high points
Minimum = low points
Relative/local = highest or lowest point for the area
Absolute = highest or lowest for the function

Multiple Choice

What is the absolute max?

(0, 36)

(−2.55, −6.55), (2.55, −6.55)

(−∞, ∞)

None

Multiple Choice

What are the local maxima of this graph?

local maximum at (2.2, 3.9)

local maximum at (-8, 5)

local maximum at (5, -8)⋃(3.9, 2.2)

local maximum at (-8, 5)⋃(2.2, 3.9)

Multiple Choice

Which coordinate point describes the location of the minimum point of this function?

(-2, -1)

(0, -1)

(-1, -2)

(-5, 3)

Multiple Choice

Does this graph have a minimum or maximum? What point?

Minimum at (0, 0)

Minimum at (0, 2)

Maximum at (0, 0)

Maximum at (0, 2)

Multiple Choice

Does this graph have a minimum or maximum? What point?

minimum at (-3, -5)

minimum at (3, 5)

maximum at (-3, -5)

maximum at (3, 5)

Multiple Choice

Which of the following does this graph not show?

absolute max

absolute min

relative max

relative min

Intercepts

x-intercepts are where the function crosses the x-axis, when y equals zero
y-intercepts are where the function crosses the y-axis, when x equals zero

Multiple Choice

What is the x and y intercept for the following equation ?
4x - 10y = 20

x - int = 4
y-int = -10

x-int = 5
y-int = 2

x - int = 5
y int = -2

x -int = 4
y -int = -10

Multiple Choice

What are all the y-intercepts?

(0, -6.25)

(-3,0), (-2,0), (2,0), (3,0)

(0, 36)

(-∞, ∞)

Multiple Choice

What are all the x-intercepts?

(-2.55, 0), (2.55, 0)

(-3,0), (-2,0), (2,0), (3,0)

(0, 36)

(-∞,∞)

Key Features of Functions

REVIEW

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